100898400 has 144 divisors (see below), whose sum is σ = 347883984. Its totient is φ = 25313280.

The previous prime is 100898387. The next prime is 100898411. The reversal of 100898400 is 4898001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39564 + ... + 42036.

It is an arithmetic number, because the mean of its divisors is an integer number (2415861).

Almost surely, 2^100898400 is an apocalyptic number.

100898400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173941992).

100898400 is an abundant number, since it is smaller than the sum of its proper divisors (246985584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100898400 is a wasteful number, since it uses less digits than its factorization.

100898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 100898400 is about 10044.8195603505. The cubic root of 100898400 is about 465.5447425596.

The spelling of 100898400 in words is "one hundred million, eight hundred ninety-eight thousand, four hundred".